Theory of structures

Detailed SolutionPick up the incorrect statement from the following: The torsional resistance of a shaft is directly proportional to A. Modulus of rigidity B. Angle of twist C. Reciprocal of the length of the shaft D. Moment of inertia of the shaft section

Detailed SolutionIn a shaft, the shear stress is not directly proportional to A. Radius of the shaft B. Angle of twist C. Length of the shaft D. Modulus of rigidity

Detailed SolutionThe general expression for the B.M. of a beam of length $$l$$ is the beam carries $${\text{M}} = \frac{{{\text{w}}l}}{2} \times – \frac{{{\text{w}}{{\text{x}}^2}}}{2}$$ A. A uniformly distributed load w/unit length B. A load varying linearly from zero at one end to w at the other end C. An isolated load at mid span D. None of these

Detailed SolutionThe strain energy due to volumetric strain A. Is directly proportional to the volume B. Is directly proportional to the square of exerted pressure C. Is inversely proportional to Bulk modulus D. All the above

Detailed SolutionA shaft subjected to a bending moment M and a torque T, experiences A. Maximum bending stress $$ = \frac{{32{\text{M}}}}{{\pi {{\text{d}}^3}}}$$ B. Maximum shear stress $$ = \frac{{16{\text{T}}}}{{\pi {{\text{d}}^3}}}$$ C. Both A and B D. Neither A nor B

$$” option2=”Longitudinal strain in the walls of a cylinder due to liquid is $$\frac{{{\text{pd}}}}{{2{\text{tE}}}}\left[ {\frac{1}{2} – \frac{1}{{\text{m}}}} \right]$$” option3=”Volumetric change in the cylinder due to liquid is $$\frac{{{\text{pd}}}}{{2{\text{tE}}}}\left[ {\frac{5}{2} – \frac{2}{{\text{m}}}} \right]$$” option4=”All the above” correct=”option4″]

Detailed SolutionPick up the correct statement from the following: A. Hoop strain of the walls of a cylinder due to liquid is $$\frac{{{\text{pd}}}}{{2{\text{tE}}}}\left[ {1 – \frac{1}{{2{\text{m}}}}} \right]$$ B. Longitudinal strain in the walls of a cylinder due to liquid is $$\frac{{{\text{pd}}}}{{2{\text{tE}}}}\left[ {\frac{1}{2} – \frac{1}{{\text{m}}}} \right]$$ C. Volumetric change in the cylinder due to liquid is $$\frac{{{\text{pd}}}}{{2{\text{tE}}}}\left[ {\frac{5}{2} – \frac{2}{{\text{m}}}} \right]$$ D. All the above

Detailed SolutionThe strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called A. Stiffness B. Proof resilience C. Proof stress D. Proof load

Detailed SolutionThe greatest load which a spring can carry without getting permanently distorted, is called A. Stiffness B. Proof resilience C. Proof stress D. Proof load

Detailed SolutionThe area of the core of a column of cross sectional area A, is A. $$\frac{1}{3}{\text{A}}$$ B. $$\frac{1}{6}{\text{A}}$$ C. $$\frac{1}{{12}}{\text{A}}$$ D. $$\frac{1}{{18}}{\text{A}}$$

Detailed SolutionPick up the correct statement from the following: A. A wire wound in spiral form, is called a helical spring B. The pitch of a close coil spring, is very small C. The angle made by the coil with horizontal, is called the angle of helix D. All the above